On the Adams spectral sequence for R–modules
On the Adams spectral sequence for R–modules
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R 模的 Adams 谱序列
DOI：
10.2140/agt.2001.1.173
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发表时间：
2001
影响因子：
0.7
通讯作者：
A. Lazarev
中科院分区：
文献类型：
--
作者：
A. Baker;A. Lazarev
在Elmendorf，Kriz，Mandell，May和Strickland意义下，讨论了交换S -代数R上基于交换局部正则商环谱的R-模的亚当斯谱序列.这个谱序列的制定是类似于经典的情况下，其E2项的计算涉及到某些'勇敢的新的霍普夫代数胚'的上同调E R E。在工作的细节，我们复活亚当斯的原始方法，通用Coecient谱序列的模块在R环谱。证明了基于交换局部正则商R环谱E = R=I（X1）的SR的亚当斯谱序列收敛于
We discuss the Adams Spectral Sequence for R-modules based on commutative localized regular quotient ring spectra over a commutative S -algebra R in the sense of Elmendorf, Kriz, Mandell, May and Strickland. The formulation of this spectral sequence is similar to the classical case and the calculation of its E2 -term involves the cohomology of certain 'brave new Hopf algebroids' E R E. In working out the details we resurrect Adams' original approach to Universal Coecient Spectral Sequences for modules over an R ring spectrum. We show that the Adams Spectral Sequence for SR based on a commutative localized regular quotient R ring spectrum E = R=I(X 1 ) converges to the